Paul   Bracken

Professor  

Phone: (956) 665-3457
Email: paul.bracken@utrgv.edu

Paul Bracken





Selected Publications


  • Paul Bracken. "Cartan Frames and Algebras with Links to Integrable Systems," NY: Journal of Mathematical Physics 59, no. 2 (2018): 021504-(1-9).

  • Paul Bracken. "The Complex Quantum Potential and Wave-Particle Duality," World Scientific: Modern Physics Letters B 32, no. 3 (2018): 1850030.

  • Muhammad Bhatti, Paul Bracken, Nicholas Dimakis, Armando Herrera, "Solution of mathematical model for gas solubility using fractional-order Bhatti polynomials," Journal of Physics Communications 2, no. 8 (August 2018): 085013.

  • Paul Bracken. "A Class of Transformations of a Quardratic Integral Generating Dynamical Systems," Romania: Journal of Numerical Analysis and Approximation Theory 46, no. 2 (2017): 131-143.

  • Paul Bracken. "A Geometric Formulation of Lax Integrability for Nonlinear Equations," AIMS Mathematics 2, no. 4 (2017): 610-621.

  • Paul Bracken. "An Intrinbsic Characterization of Bonnet Surfaces Based on a Closed Differential Ideal," Rijeka: Intech Open Access Publishers, 2017: 21-43.

  • Paul Bracken. "An Intrinsic Characterization of Bonnet Surafces Based on a Closed Differential Ideal," Manifolds-Current Research Areas. Rijeka: Intech Open Access Publishers, 2017: 21-43.

  • Paul Bracken. "An Introduction to Ricci Flow for Two-Diimensional Manifolds," Nova Science Publishers: Advances in Mathematics Research, 2017: 155-193.

  • Paul Bracken. "Application of the Lichnorowicz Laplacian to Stress Energy Tensors," AIMS Mathematics 2, no. 3 (2017): 545-556.

  • Paul Bracken. "First Eigenvalue Lower Bound of the Laplacian Operator on a Compact Riemannian Manifold," Hikari: International Journal of Mathematical Analysis 11, (2017): 757-770.



Selected Presentations


  • Paul Bracken. "Geometric Formulation of Lax Integrability for Nonlinear Evolution Equations," Applied Mathematics Seminar, University of Texas RGV, Mathematics Department (March 2016)

  • Paul Bracken. "Geometric Approach to the Study of Partial Differential Equations," 49th Texas Geometry and Topology Conference, UY Arlington, UT Arlington (February 2013)

  • Paul Bracken. "Geometric Approach to the Study of Nonlinear Partial Differential Equations," Applied Mathematics Seminar, Mathematics Department, UTRGV (January 2013)

  • Paul Bracken. "Determination of Electromagnetic Lagrangian from a System of Poisson Brackets," Applied Mathematics and Image Processing Workshop, UTRGV, Edinburg (June 2011)

Current Courses

MATH 2318 05 - Linear Algebra:
Syllabus
Course Evaluations
Textbooks
MATH 3341 02 - Diff Equations:
Syllabus
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MATH 3341 03 - Diff Equations:
Syllabus
Course Evaluations
Textbooks

Previous Courses